Question

find the unknown angles in the following figures​

Answer 1

Answer:

x = 45 and 3x = 135

Step-by-step explanation:

3x + x = 180

4x = 180

x = 180/4

x = 45

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Answer 2

Answer:

x + 3x = 180° ( adjacent angles )

or, 4x = 180°

or, x = 180/4 = 45°

3x = 3(45) = 135°

e = 3x = 135° (vertically opposite angles)

b = x = 45° (vertically opposite angles)

b = d = 45° (corresponding angles)

d = f = 45° (vertically opposite angles)

e = c = 135° (corresponding angles)

c = a = 135° (vertically opposite angles)